Answer:
A. -55
Step-by-step explanation:
f(x)=-2x^2+4x-7
f(-4)= -2(-4)^2+4(-4)-7
= -2(16)-18-7
= -32-16-7
= -55
Answer:
-55
Step-by-step explanation:
f(x) = −2x^2 + 4x − 7
Let x = -4
f(-4) = −2(-4)^2 + 4(-4) − 7
= -2 (16) -16 -7
= -32 -16 -7
=-55
Two cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the second card is a face card if it’s known that the first card was a face card.
Answer:
The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Step-by-step explanation:
Total number of face cards = 12
Total cards = 52
Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]
Remaining no. of face cards = 11
Remaining number of total cards = 51
Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]
The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]
Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Help im stuck on this question
Work out the area of the rectangle using a calculator and
giving your answer as a mixed number.
22 cm
5 cm
1
Note: To enter a mixed number in the answer boxes, please use the following method:
Type the fractional part of the mixed number first (e.g. for 6 first enter 5)
Then use the keyboard arrows to return to the front of the box and type the whole number (e.g. for 6
5 enter 6).
Answer:
11 17/21 cm²
Step-by-step explanation:
5 1/6 = (5*6 + 1)/6 = 31/6
2 2/7 = (2*7 + 2)/7 = 16/7
A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²
Which number is a perfect cube?
O9
O 18
0 27
O 36
Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
Answer:
27
Step-by-step explanation:
We want a number time itself times itself
27 = 3*3*3
27 = 3^3
divide $1600 in the ratio of 3:7:10
Answer:
240, 360, 800
Step-by-step explanation:
We can call the numbers 3x, 7x, and 10x and then we can write:
3x + 7x + 10x = 1600
20x = 1600
x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.
Please answer this question fast in two minutes
Answer:
lines NP and OP are intersecting
Step-by-step explanation:
they touch at point P
Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.
Answer:
190 cards
Step-by-step explanation:
Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:
2 + 3 + 7 = 12
If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:
152 * 3 = 456 cards
Elle's share is therefore:
2 / 12 * 456 = 76 cards
Mandy's share is:
7 / 12 * 456 = 266 cards
Therefore, the number of cards that Many received more than Elle is:
266 - 76 = 190 cards
What the answer question
Answer:
Step-by-step explanation:
UV & UT are the sides
Keith is the leading goal scorer for a team in an ice hockey league . Last season , he scored 42 goals in 82 games . Assuming he scores goals at at a constant rate , what is the slope of the line that represents this relashonships if the number of games is is along the x-axis and the number of goals is along the y-axis
Answer: The slope is 21/41.
Step-by-step explanation:
IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.
To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.
so 42/82 which reduces to 21/41 has to be the slope .
Answer:
it’s 21/41 or A (I got a 100% on the test)
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
The measure of angle CFD is 105 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Angle DEF = 75°.
Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.
Angle DFE + Angle CFD = 180 (angle on a straight line)
so 180 - 75 = 105 degrees
Thus, Angle CFD = 105 degree
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ2
Find the total surface area of this cylinder. Give your answer to one decimal place first correct answer will get brainliest and 5 stars!!!
Answer:
The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:
2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6
what is productivity?
a. quantity of input per unit of output
b. quantity of output per unit of input
c. quality of output per unit of input
d. quality of input per unit of output
Answer:
This is the quantity of output per unit of input.
Step-by-step explanation:
I'm very sure.
Need help with #11 please
Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1) and draw a straight line through them.
Step-by-step explanation:
The equation y= 5-x can be rewrite as y = -1x + 5 and it can be identify as a linear equation in slope intercept form. Now you could plot in any value of x and solve for y.
x y (x,y)
0 5 (0,5) If you put in 0 for x y will be 5
1 4 (1,4) if you put in 1 for x, y will be 4
2 3 (2,3) if you put in 2 for x, y will be 3
4 1 (4,1) if you put in 4 for x, y will be 1
5 0 (5,0) if you put in 5 for x y will be 0.
48/60 in its simplelest form
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{48}{60}[/tex]
To simplify find the highest common factor of 48 and 60, that is 12
Divide both values by 12
[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form
The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator
NEED MATH HELP NOW. Please solve for the x-intercept. Please show work.
Answer:
x = 1 and x = 3.
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 8x + 6
y = 2([tex]x^{2}[/tex] - 4x + 3)
y = 2(x - 3)(x - 1)
So, the x-intercepts would be at...
x-3 = 0
x = 3
and
x - 1 = 0
x = 1
Hope this helps!
A machine lifts up containers of coal from the mine and lowers empty containers down. The machine uses an electric motor connected to a 600 V d.c. supply.The maximum current in the motor is 4000 A. *Calculate the maximum power available from the motor. Give your answer in MW* power = voltage x current i believe
Answer:
The maximum power available to the motor is 2.4 MW
Step-by-step explanation:
The power of a circuit that has a current, I, and a voltage, V, is given by the relation
Electrical power, P = I²R = I× I×R = I × V
Therefore given that the parameters are;
Voltage in the d.c. power supply = 600 V d.c.
Maximum current in the motor = 4000 A
Therefore, we can find the power as follows;
Maximum motor power = Voltage × Current
The maximum motor power, P available = 600 V × 4000 A = 2400000 W which on converting to MW becomes;
The maximum power available to the motor , P = 2.4 MW.
Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *
Answer:
8 batches
Step-by-step explanation:
Take the total amount of cream and divide by the amount of cream per batch
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2*4
8 batches
6.
(a) Pens cost 36 cents each.
Pencils cost 12 cents each.
(i) Write an expression for the cost of y pens.
Pens = 36y
Pencils 12y
This is because the cost of pens is 36 times however many pens you buy
The Sam Egeos for pencils except it’s 12 cents.
pls help me!!! I WILL GIVE BRAINLIEST!!!!!! probability question
Answer:
B
Step-by-step explanation:
0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.
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Hope this helps you...
4. Use a tree diagram to display the possible outcomes when a coin is tossed three times
and use it to find the probability of tossing exactly 2 tails.
Answer:
i. {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)
Step-by-step explanation:
when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.
The possible outcomes when a coin is tossed three times are:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
where; H represents the head and T represents the tail.
Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).
A tree casts a 25 m shadow when the angle of elevation to the sun is
40°. Approximately how tall is the tree?
25 m
A 25 m
B 19 m
C 21 m
D 16 m
Answer:
C. 21 m
Step-by-step explanation:
As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:
tan40° = h/25
25tan40° = h
h = 20.9775
h ≈ 21 m
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
factor: (a+3)^2-a(a+3)
Answer:
Factor (a+3)2−a(a+3)
3a+9
=3(a+3)
Answer:
3(a+3)
I hope this help :)
Answer:
(a+3)(3)
Step-by-step explanation:
(a+3)^2-a(a+3)
(a+3)(a+3)-a(a+3)
Factor (a+3)
(a+3)(a+3-a)
(a+3)(3)
In a right-angled triangle, the hypotenuse is h cmlong aand the other two sides are f cm and g cm in height. Write down a formula which connects f g and h
Answer: f²+g²=h²
Step-by-step explanation:
In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.
Write [tex]3x^{2} -x-3+x^{3}[/tex] in standard form. Identify the leading coefficient.
Answer:
Standard form: [tex]x^3+3x^2-x-3[/tex]
Leading coefficient: 1
Step-by-step explanation:
[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]
The leading coefficient is 1 because the leading term is [tex]x^3[/tex].
ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __
Answer:
12
5
13
Step-by-step explanation:
If the slope of the line joining the points (2k, -2) and (1, - k) be (-2), find k
Answer:
k=4/5
Step-by-step explanation:
(-k+2)/(1-2k) = -2 ( using the slope formula (y2-y1)/(x2-x1) )
-k+2 = -2 (1-2k)
-k+2 = -2 + 4k
2= -2 +5k
4 = 5k
k=4/5
Answer:
k = 4/5Step-by-step explanation:
To find k use the formula for finding the slope of a line and equate it to the slope which is - 2
So we have
(2k, -2) and (1, - k)
[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]
Cross multiply
That's
- 2( 1 - 2k ) = - k + 2
Expand and simplify
- 2 + 4k = - k + 2
Group like terms
4k + k = 2 + 2
5k = 4
Divide both sides by 5
k = 4/5
Hope this helps you
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Answer: b⁶
Step-by-step explanation:
The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.
(b³)²=b³ˣ²=b⁶
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a survey, favorite sports of respondents are identified as 100 for basketball, 200 for baseball, 300 for football and 400 for anything else. The average (mean) is calculated for 740 respondents and the result is 256.1. The data are at the______level of measurement.
Answer:
The data are at the nominal level of measurement
Step-by-step explanation:
Nominal Level of measurement is irrespective of orders or classes. In this survey we do not find out which game is ranked the most favorite.
Nominal; level is used just for counting. Its cannot be used as a measure or for quantitative analysis.
Such data cannot give the mean of the sample. And the two means cannot be compared.
In the given question it only gives the number of likes nothing more. The average cannot be calculated for such data.
help can you also show how you do it too
Answer:
m the slope of function=-3
Step-by-step explanation:
to find the slope take two points from the graph:
(0,4), (1,1)
m= y2-y1/x2-x1
m=1-4/1-0
m=-3/1=-3
the equation : y=mx+b find b
when x=0, y=b=4
y=-3x+4
Help.me!!!!!!!!!!!!!!!!!
Answer:
∠U = 40°
Step-by-step explanation:
in order to find the missing angle of U we need to know the two other angles.
We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.
Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.
This would mean that ∠U is 40°